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Finding the Third Proportional to 328,876 and 491,993

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Solution

The third proportional to 328,876 and 491,993 is: 736,013.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,876 : 491,993 = 491,993 : x
  2. Step 2: Convert to fraction form
    328,876/491,993 = 491,993/x
  3. Step 3: Cross multiply
    328,876x = 491,993 × 491,993
  4. Step 4: Simplify right side
    328,876x = 242,057,112,049
  5. Step 5: Solve for x
    x = 242,057,112,049/328,876
  6. Step 6: Final answer
    x = 736,013.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.